# Geometric Progressions - Geometric Series - Geometric Mean

## Free Algebra Worksheet - Geometric Progressions - Geometric Series - Geometric Mean

**Lesson:**

To find terms and missing elements of geometric progressions

**Subject:**

Algebra

Geometry

Statistics & Probability

**Description:**

In this free math worksheet, students must solve problems on geometric progressions. Problems require students to identify terms of geometric progressions and geometric series, to find missing elements, find geometric mean, and complete problems and applications of geometric series.

**# of Problems:** 12

**# of Pages:** 3

**Answer Key?:** Yes

### Sample Problems from Worksheet

(Worksheet pictures and diagrams not shown)

Tutor-USA.com Worksheet

Geometric Progressions

Write out the next 3 terms in each geometric progression, and find t_{n} and S_{n}.

1) 1, 4, 16, ... to 8 terms

Find the missing elements in each geometric progression.

3) t_{1 }= 2, r = 3, n = 6

5) r = 1/3, n = 5, S_{n} = 4/9

10) What is the geometric mean of the 2 numbers a and b?

12) An automobile purchased for $3 000 depreciates 12% every year in value. Find its value at the end of 5 years.

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